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Finding the Fourth Proportional to 341,664.40, 512,498.42 and 224,080.34

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Solution

The fourth proportional to 341,664.40, 512,498.42 and 224,080.34 is: 336,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,664.40 : 512,498.42 = 224,080.34 : x
  2. Step 2: Convert to fraction form
    341,664.40/512,498.42 = 224,080.34/x
  3. Step 3: Cross multiply
    341,664.40x = 512,498.42 × 224,080.34
  4. Step 4: Simplify right side
    341,664.40x = 114,840,820,203.06
  5. Step 5: Solve for x
    x = 114,840,820,203.06/341,664.40
  6. Step 6: Final answer
    x = 336,121.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.